Answer :
Final answer:
The function that maps the x-values 4 and 7 to y-values -15 and 57 respectively is f(x) = 24x - 111.
Explanation:
The question is asking to determine which function among the options provided correctly maps the x-values 4 and 7 to their respective y-values -15 and 57. There are two functions given, f(x) = 14 - 71 and f(x) = 24x - 111. To solve this, we need to substitute x with the given values into both functions and see which one gives the correct pairings.
For the first function, substituting x = 4 and x = 7 gives us values that do not match -15 and 57. However, for the second function, f(4) substitutes to -15 and f(7) substitutes to 57. Therefore, the correct function is f(x) = 24x - 111.
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